a runcinated 120-cell (or runcinated 600-cell) is a convex uniform 4-polytope, being a runcination (a 3rd order truncation) of the regular 120-cell. There...

as a semiregular polytope. Runcinated 5-cell (Norman Johnson) Runcinated pentachoron Runcinated 4-simplex Expanded 5-cell/4-simplex/pentachoron Small...

Cantellated 5-simplex, Runcinated 5-simplex, Stericated 5-simplex 5-demicube, Truncated 5-demicube, Cantellated 5-demicube, Runcinated 5-demicube 5-cube,...

(600-point) 120-cell is the convex hull of 5 disjoint (120-point) 600-cells. Each (120-point) 600-cell is the convex hull of 5 disjoint (24-point) 24-cells, so...

as a Cantellation operation applied to the regular 120-cell. It contains 1920 cells, including 120 rhombicosidodecahedra, 1200 triangular prisms, 600...

octahedral cells correspond with the cells of a 24-cell and its dual. E. L. Elte identified it in 1912 as a semiregular polytope. Runcinated 24-cell (Norman...

polytetrahedron, being bounded by tetrahedral cells. The 600-cell's boundary is composed of 600 tetrahedral cells with 20 meeting at each vertex. Together...

Jonathan Bowers) The bitruncated 120-cell or hexacosihecatonicosachoron is a uniform 4-polytope. It has 720 cells: 120 truncated icosahedra, and 600 truncated...

Cantellated 5-simplex, Runcinated 5-simplex, Stericated 5-simplex 5-demicube, Truncated 5-demicube, Cantellated 5-demicube, Runcinated 5-demicube 5-cube,...

(star polyhedron cells and/or vertex figures) 1852: Ludwig Schläfli also found 4 of the 10 regular star 4-polytopes, discounting 6 with cells or vertex figures...

In geometry, a rectified 120-cell is a uniform 4-polytope formed as the rectification of the regular 120-cell. E. L. Elte identified it in 1912 as a semiregular...

24-cells inscribed in the 120-cell, a regular 4-polytope with 120 dodecahedral cells that is the convex hull of the compound of 25 disjoint 24-cells. Perez-Gracia...

In four-dimensional geometry, a runcinated tesseract (or runcinated 16-cell) is a convex uniform 4-polytope, being a runcination (a 3rd order truncation)...

prism cells, with a mirrored sphenoid vertex figure. It is similar to the Euclidean (order-4) cantitruncated cubic honeycomb, tr{4,3,4}: The runcinated order-5...

triangular prisms. There are 9 uniform honeycombs that include triangular prism cells: Gyroelongated alternated cubic honeycomb, elongated alternated cubic honeycomb...

prism cells, with a mirrored sphenoid vertex figure. The runcinated order-5 dodecahedral honeycomb, , has dodecahedron and pentagonal prism cells, with...

prism cells, with a mirrored sphenoid vertex figure. The runcinated icosahedral honeycomb, t0,3{3,5,3}, , has icosahedron and triangular prism cells, with...

rectified 600-cell or rectified hexacosichoron is a convex uniform 4-polytope composed of 600 regular octahedra and 120 icosahedra cells. Each edge has...

truncated trihexagonal tiling, and triangular prism cells, with a mirrored sphenoid vertex figure. The runcinated hexagonal tiling honeycomb, t0,3{6,3,3}, has...

Snub 24-cell honeycomb, with symbols s{3,4,3,3}, and constructed by four snub 24-cell, one 16-cell, and five 5-cells at each vertex. 16-cell honeycomb...

runcitruncated 24-cell all have 240 cells, while the rectified 24-cell and truncated 24-cell have 240 faces. The runcinated 5-cell, bitruncated 5-cell, and omnitruncated...

related to the square faces of the runcinated 24-cell. The disphenoidal 288-cell is the dual of the bitruncated 24-cell. It is a 4-dimensional polytope (or...

1 rhombitrihexagonal tiling Related uniform polychora runcinated 5-cell runcinated tesseract runcinated 24-cell runcinated 120-cell runcinated hexagonal tiling honeycomb...

a tritruncation, which creates the truncated 16-cell. The truncated tesseract is bounded by 24 cells: 8 truncated cubes, and 16 tetrahedra. Truncated...

related to the square faces of the runcinated 5-cell. The disphenoidal 30-cell is the dual of the bitruncated 5-cell. It is a 4-dimensional polytope (or...

moving the cells of the regular form away from the center, and filling in new faces in the gaps for each opened vertex and edge. Runcinated 4-polytopes/honeycombs...

there are 15 uniform polytopes with H4 symmetry. Two of these, the 120-cell and 600-cell, are regular. Each can be visualized as symmetric orthographic projections...

vertices of a runcinated tesseract, with its construction, called a runcic tesseract. It has two uniform constructions, as a rectified 8-cell r{4,3,3} and...

alternated cubic honeycomb. The expanded cubic honeycomb (also known as the runcinated tesseractic honeycomb) is geometrically identical to the cubic honeycomb...

produces a 16-cell, or demitesseract. Uniform polytopes can be constructed from their vertex figure, the arrangement of edges, faces, cells, etc. around...